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Finding the Third Proportional to 175,170 and 362,796

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Solution

The third proportional to 175,170 and 362,796 is: 751,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,170 : 362,796 = 362,796 : x
  2. Step 2: Convert to fraction form
    175,170/362,796 = 362,796/x
  3. Step 3: Cross multiply
    175,170x = 362,796 × 362,796
  4. Step 4: Simplify right side
    175,170x = 131,620,937,616
  5. Step 5: Solve for x
    x = 131,620,937,616/175,170
  6. Step 6: Final answer
    x = 751,389.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.